Question

The curved surface area of a cylinder is 154 cm square . The total surface area of the cylinder is three times its curved surface area . Find the volume of the cylinder

Answer 1

Answer:

539cubic.cm

Step-by-step explanation:

CSA of cylinder =

=2×22/7×r×h=154

=r×h=154×7/22×1/2

=rh =49/2

And also given that

TSA=3×CSA

=2*pie*r (h+r)=3×154=462

=2×22/7×r×(h+r)=462

=49/2+r^2=147/2

=r^2=147/2-49/2

=r^2=(147-49)/2

=r^2=49

=r=7

volume =pie*r^2*h

=(2*pie*r*h)*r/2

= CSA*r/2

=154×7/2

=539cubic.cm